Question

a covered half of his journey at 20km/h and rest at xkm/h then his average speed is 24km/h.what is the value of x​

Answer 1

SOLUTION

GIVEN

A covered half of his journey at 20 km/h and rest at x km/h then his average speed is 24 km/h

TO DETERMINE

The value of x

EVALUATION

Here it is given that A covered half of his journey at 20 km/h and rest at x km/h

Now his average speed is 24 km/h

So by the given condition

$\displaystyle \sf{ \frac{2 . x.20}{20 + x} = 24 }$

$\displaystyle \sf{ \implies \: \frac{40x}{20 + x} = 24 }$

$\displaystyle \sf{ \implies \: 40x = 480 + 24x }$

$\displaystyle \sf{ \implies \: 40x - 24x= 480 }$

$\displaystyle \sf{ \implies \: 16x= 480 }$

$\displaystyle \sf{ \implies \: x=30}$

FINAL ANSWER

The required value of x = 30

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